Atkin-Lehner |
2+ 3- 5+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
21630d |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
41529600 = 28 · 32 · 52 · 7 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-109,296] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:23:1] |
Generators of the group modulo torsion |
j |
141339344329/41529600 |
j-invariant |
L |
4.2982053947786 |
L(r)(E,1)/r! |
Ω |
1.8910486199894 |
Real period |
R |
1.1364608369516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64890cg1 108150cb1 |
Quadratic twists by: -3 5 |